Reduction of \(m\)-regular noncrossing partitions
From MaRDI portal
Publication:1765607
DOI10.1016/j.ejc.2004.02.009zbMath1059.05011arXivmath/0406180OpenAlexW2113841318MaRDI QIDQ1765607
Rosena R. X. Du, Eva Y. P. Deng, William Y. C. Chen
Publication date: 23 February 2005
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406180
Catalan numberNarayana numberDavenport-Schinzel sequenceRNA secondary structureNoncrossing partition
Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Protein sequences, DNA sequences (92D20)
Related Items
Regular simple queues of protein contact maps ⋮ A simple bijection for enhanced, classical, and 2-distant \(k\)-noncrossing partitions ⋮ Walks, partitions, and normal ordering ⋮ Partitions and partial matchings avoiding neighbor patterns ⋮ The research and progress of the enumeration of lattice paths ⋮ Extended set partitions with successions ⋮ Enumeration of \((k,2)\)-noncrossing partitions ⋮ Gray codes and lexicographical combinatorial generation for nonnesting and sparse nonnesting set partitions ⋮ Combinatorics of contacts in protein contact maps ⋮ Fubini numbers and polynomials of graphs ⋮ Identities from weighted Motzkin paths ⋮ Noncrossing normal ordering for functions of boson operators ⋮ On the combinatorics of the Pfaff identity ⋮ Heisenberg characters, unitriangular groups, and Fibonacci numbers ⋮ Identities involving Narayana polynomials and Catalan numbers ⋮ Partitions of a set satisfying certain set of conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(p,q\)-Stirling numbers and set partition statistics
- A correspondence between ordered trees and noncrossing partitions
- Ordered trees and non-crossing partitions
- On the structure of the lattice of noncrossing partitions
- Combinatorics of RNA secondary structures
- Linear trees and RNA secondary structure
- On trees and noncrossing partitions
- A bijection between ordered trees and 2-Motzkin paths and its many consequences
- On \(abab\)-free and \(abba\)-free set partitions
- Bell numbers and \(k\)-trees
- Noncrossing partitions
- A map-theoretic approach to Davenport Schinzel sequences
- A Combinatorial Problem Connected with Differential Equations